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# A detailed lesson plan in permutation

A detailed lesson plan in permutation

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### A detailed lesson plan in permutation

1. 1. A Detailed Lesson Plan In Mathematics 10 October 12, 2015 Ruby Rose Ann B. Panganod Ms. Catalina B. Gayas Student Teacher I. Objectives Given several activities,the students should be able to do the followingwith at least 80% proficiency: a. To define the permutation of n objects; b. To identify the rules of permutation; c. To use the formula for finding the permutation of n objects taken r at a time; d. To use the formula of circular permutation; e. To solve problems using the different rules of permutation. II. Content and Materials a. Topic: Permutation b. References: Pelingon, J., Petilos, G., Gayas, C., Fundamentals of Mathematics, pp. 115- 120. Davison, et. al, Pre- Algebra Course 3, pp. 324-348. c. Materials: cartolina used as cards, cartolina for visual aids, box with numbers, III. Procedure (Deductive Method) Teacher’s Activity A. Review Now, I have here a box, and each one of you will pick a paper. Each paper has a number on it. Does everything have their number? Very good. Now, I have here another box and I will pick a number, and whoever has the same number that I had picked will answer the following questions. So for question number 1; Students’ Activity Yes Maam.
2. 2. A woman has 8 skirts and 8 blouses. In how many different attires may she appear? So, I’ve picked number 26. Who picked number 26? Yes Anna? Very good Anna. What rule did you use? That’s right Anna. For question no.2, A house has three doors, in how many ways can a person enter and leave by another? So I’ve picked number 16. Who picked number 16? Yes Vince? Very good Vince. For question no.3, Three coins are tossed at the same time. In how many ways can they can up? So I’ve picked number 34. Who has number 34? Yes Shiela? Very good Shiela. Lets move on to question no. 4, A student plans to buy one of the following: a novel, a ballpen, and a notebook. If there are 15 choices for the novel, 20 choices for the ballpen and 15 choices for the notebook, how many choices does the student have? So I’ve picked no.3. Who got number 3? Yes Ann? Very Good Ann. Again, what is addition rule? Yes Geraldine? The woman has 64 attires to wear. The rule that I use is Multiplication rule. There are 9 ways to enter and leave the house. Three coins can come up in 8 possible ways. The student has 50 choices. Addition rule states that the number of ways of selecting k mutually disjoint sets is
3. 3. Very well said Geraldine. How about Multiplication rule? Yes Marvin? That’s right Marvin! Its good that you still remember our lesson about Counting techniques. B. Motivation Now, you will form a group with five members. So this row will be group 1, this row will be group 2, group 3, group 4, group 5, group 6, group 7 and group 8. Form a circle now. Faster. Are you in your groups now? Very good. Now, I will give you 4 cards with the letters M, A, T and H written on each card. Do you have your cards now? Now I want you to put your card on the table face down. Shuffle itthree times. Done? Now, from those 4 cards, choose 3 cards and face that card up. Now, you have three letters. In a 1 whole sheet of paper, I want you to record the possible arrangement of those 3 letters. I will give you five minutes to do that. Understood? (After 5 minutes) Are you done? simply by adding the number of elements of each set. Multiplication rule states that if there are m ways of performing the first step and n ways in performing the second step, then there are m.n ways of performing the steps in the given order. Yes maam. Yes maam. Yes maam. Yes maam. Yes maam.